Question 3. the given integral is convergent or divergent: Use the comparison test to determine whether or not * sin*(x + 1) 7x3 (a) |. d.x g8 + x4 + 1 -dx (b) 2.x4 + x + 1

Q: 3. The total profit (in dollars) from selling x watches is P(x)=0.52x²-0.0002x². Find and interpret…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Find the average value gave of the function g on the given interval. gave = g(x) = 8√√x, [8,64] Need…

A: The average value gave​ of the function over the interval [8, 64] is 7180​.

Q: 17. Consider a mass-spring system that satisfies 2y′′(t) + by′(t) + 50y(t) = 0.Which of the…

A: (i)If b = 0, the equation becomes:. y′′(t)+25y(t)=0The characteristic equation is:.…

Q: 4. In Theorem 5.4 in the Lecture Notes we proved that if F: RN → Rm is differentiable at x = RN then…

A: #####(i)The proof of the continuity of  F  at  x  relies on the differentiability of  F  at  x . The…

Q: Let f(x) = 4√√ If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula…

A:

Q: 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a…

A:

Q: 60! 5!.7!.15!.33!

A: The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers…

Q: Please draw a detailed graph

A: Step 1:  Step 2: Step 3: Step 4:

Q: Consider the following functions. g(x) = x + √3x h(x) = 3x-5 x + √3x f(x) = = 3x-5 Find the…

A:

Q: x The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of…

A:

Q: x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)

A:

Q: Qize f(x) = x + 2x2 - 2 x² + 4x²² - Solve the equation using Newton Raphson

A: Detailed Approach and AnswerWe can write the equation as follows:…

Q: ● Question 7 Solve the equation. log2(3m - 5) = log2(m +8) m n = Question 8

A:

Q: Question 4 The plot below represents the function f(x) 8 7 3 pts O -4-3-2-1 6 5 4 3 2 + 1 2 3 5 -2+…

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 3 and 4

A: 3  4.

Q: Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x)…

A:

Q: Qize f(x) x + 2x2 - 2 x² + 4x² - 4 Solve the equation using Newton Raphson

A: Let's solve the system step-by-step using the Newton-Raphson method. # Given system of…

Q: Find the slope of the secant line between the values 1 and 2 for the function y = f(x). Answer…

A: Calculate f(x₁) and f(x₂):f(x₁) = f(2) = 2 / (2*2 - 1) = 2 / (4 - 1) = 2/3f(x₂) = f(4) = 2 / (2*4 -…

Q: Use the circle to find exact value of each trigonometric function (number 15)

A: It is required to find the exact value of the following trigonometric function using the unit…

Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1.…

A:

Q: I need expert handwritten solution.to this integral

A:

Q: The graph below is the function f(z) 4 3 -2 -1 -1 1 2 3 -3 Consider the function f whose graph is…

A: ABC Please feel free to ask doubts.Thank YOU.

Q: 2. The appropriate guess for the particular solution to the differential equationy′′ + 3y′ + 2y = 2x…

A: To determine the appropriate guess for the particular solution to the differential equation y'' +…

Q: 3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load which varies in a…

A:

Q: Please see image for question.

A: Let's denote the amount of dye in the body at time t as A(t). We are given that the rate of change…

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Step 1:Step 2:Step 3: Step 4:

Q: A population of deer in Pierce County currently has 1875 deer, but due to urban development, the…

A: List given:Initial population, P0 = 1875Decay rate = 1.1% per year = 0.011 per yearPopulation after…

Q: Evaluate the following integral. x/6 S tan 2x dx x/12

A: If you have any problem let me know in the comment box thankyou.

Q: Solve the next ED: (see image)

A:

Q: 2\int_{-3/2}^{3/2} \sqrt{4u^2+2} du

A:

Q: 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X,…

A: Step 1:Step 2: Step 3: Step 4:

Q: could you please show the computation of this by wires

A:

Q: Use undetermined coefficients to find the particular solution to y"-y+5y = 7t² +61 +3 Yp(t) =

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Solve the equation, give the answer exactly (no calculator approximations), and show all your…

A: We solve the equation log5(2x) = 3 as follows: Step 1: Convert from Logarithmic Form to Exponential…

Q: practice problem please help!

A: Graph with its slope line If you have any questions let me know in the comment box thankyou.

Q: Find the derivative of the function. k(x) = − 6(5x +4) -

A:

Q: 3 Evaluate the double integral 10 y√x dy dx. First sketch the area of the integral involved, then…

A: Please feel free to comment if you have any questions

Q: 13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15…

A: (a) The cost function C(x) is a piecewise function because the cost per person changes after the…

Q: 4.2 Product and Quotient Rules 1. Use the product and/or quotient rule to find the derivative of…

A:

Q: In Problems 10-40, use the method of undetermined coefficients to determine the form of a particular…

A: Given Differential Equation: y′′′ − 2y′′ − 5y′ + 6y = ex + x2 We will use the method of undetermined…

Q: . Solve the equation for x ; tanh x = 3/5 .

A: Step 1: Identify the trigonometric identities to be usedsinh x = (ex - e-x)/2cosh x = (ex +…

Q: 5. If g'(5) 10 and h'(5)=-4, find f'(5) for f(x)=4g(x)-2h(x)+3.

A:

Q: a C d 2 1 -1 0 1 2 3 -1 Graph of f'(x) (5) The graph of f'(x), the derivative of f(x), is shown in…

A: The question involves analyzing the graph of  f'(x) , the derivative of  f(x) , to determine which…

Q: do question 2

A:

Q: Write an equation for the polynomial graphed below 5+ 4 3 1 + + + -5-4-3-2 1 13 4 5 -1 -2 -3 -4 -5+…

A: If you have any problem let me know in the comment section thankyou.

Q: B G R + K Match each equation with a graph above - 3(0.9)* 1 a. green (G) 3(1.5)* b. black (K)…

A: Let's analyze the equations and match them to the graphs based on their properties:General Form: All…

Q: What is a solution to a differential equation? We said that a differential equation is an equation…

A: First, we need to differentiate the function s(t) = 2t^2 + t with respect to t. The derivative of a…

Q: 3.13 (B). A beam ABC, 6 m long, is simply-supported at the left-hand end A and at B I'm from the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: Step 1: Step 2:Step 3:Step 4:

Q: Question Given the following piecewise function, evaluate lim f(x). f(x) = x+1- -2x² - 2x 3x-2 2 x²…

A: Step 1: Step 2: Step 3:The answer is 1.